10200256637424 has 320 divisors, whose sum is σ = 31791915663360. Its totient is φ = 2752983936000.

The previous prime is 10200256637411. The next prime is 10200256637447. The reversal of 10200256637424 is 42473665200201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4531432299 + ... + 4531434549.

It is an arithmetic number, because the mean of its divisors is an integer number (99349736448).

Almost surely, 2^{10200256637424} is an apocalyptic number.

10200256637424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200256637424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895957831680).

10200256637424 is an abundant number, since it is smaller than the sum of its proper divisors (21591659025936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200256637424 is a wasteful number, since it uses less digits than its factorization.

10200256637424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 10200256637424 in words is "ten trillion, two hundred billion, two hundred fifty-six million, six hundred thirty-seven thousand, four hundred twenty-four".